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arXiv · 2511.12424

Extremal divisors in the Hilbert scheme of points on $\mathbb{P}^{2}$ are preserved under residuality

Montserrat Vite
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Abstract

Let $n=\frac{r(r+1)}{2}$ or $n=r(r+1)$. We prove that the property of being extremal is preserved under residuality on the Hilbert scheme of $n$ points in the plane.

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Montserrat Vite. 2025-11-16. Extremal divisors in the Hilbert scheme of points on $\mathbb{P}^{2}$ are preserved under residuality. https://arxiv.org/abs/2511.12424

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